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Popular >

integral of (3x-7)

Solution

\int (3 x - 7) d x

Solution

\frac{3 x ^{2}}{2} - 7 x + C

Solution steps

\int 3 x - 7 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x d x - \int 7 d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 7 d x = 7 x

= \frac{3 x ^{2}}{2} - 7 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} - 7 x + C

Popular Examples

integral of (4x^7+5x^5-9x^2+3)

\int (4 x^{7} + 5 x^{5} - 9 x^{2} + 3) d x

integral of 4/(\sqrt[3]{7x+4)}

integral of 1/(6x+7)

\int \frac{1}{6 x + 7} d x

integral of 4\sqrt[3]{x^2}

integral of x^{10}+10^x

\int x^{10} + 1 0^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x-7) ?
The integral of (3x-7) is (3x^2)/2-7x+C